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Simplifying 6(3x + -2) + -2(2x + -5) = 26 Reorder the terms: 6(-2 + 3x) + -2(2x + -5) = 26 (-2 * 6 + 3x * 6) + -2(2x + -5) = 26 (-12 + 18x) + -2(2x + -5) = 26 Reorder the terms: -12 + 18x + -2(-5 + 2x) = 26 -12 + 18x + (-5 * -2 + 2x * -2) = 26 -12 + 18x + (10 + -4x) = 26 Reorder the terms: -12 + 10 + 18x + -4x = 26 Combine like terms: -12 + 10 = -2 -2 + 18x + -4x = 26 Combine like terms: 18x + -4x = 14x -2 + 14x = 26 Solving -2 + 14x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14x = 26 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 26 + 2 14x = 26 + 2 Combine like terms: 26 + 2 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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